Use the Direct Comparison Test to Determine the Convergence or Divergence

question 14

Multiple Choice

Use the Direct Comparison Test to determine the convergence or divergence of the series $\sum _ { n = 0 } ^ { \infty } \frac { 8 ^ { n } } { 9 ^ { n } + 7 }$ .

• A)The series \(\sum _ { n = 0 } ^ { \infty } \frac { 8 ^ { n } } { 9 ^ { n } + 7 }\) converges.
• B)The series \(\sum _ { n = 0 } ^ { \infty } \frac { 8 ^ { n } } { 9 ^ { n } + 7 }\) diverges.

---

Definitions:

Americans with Disabilities Act

A law that forbids unfair treatment against disabled persons in all public settings.

Rehabilitation Act

A federal law aimed at protecting the rights of individuals with disabilities, ensuring equal opportunities in employment and access to public services.

Executive Order

A directive issued by the head of a government, such as a president or governor, that has the force of law.

Executive Branch

The part of government responsible for implementing and enforcing laws, traditionally led by the president or prime minister.